Solutions to the Practice Integral Problems
Solutions to the Practice Integral Problems
e
x
(cos(x)+sin(x))/2 + C
(x-cos(x)sin(x))/2 + C
1/(2(1+2x)) + C
ln(cos(x)) + C
ln(4+cos(2x))/2 + C
xtan(x)+ln(cos(x)) + C
2(x-2
)7/2/
7+8(x-2)
5/2
/5+8(x-2)
3/2
/3 + C
- ln(cos(arcsin(x))) + C= - ln(sqrt(1-x
2
)) + C = = -(1/2)[ln(1-x)+ln(1+x)] + C
(7e
8
+1)/4
856(107)
1/2
/9 8(3)
1/2
/3
2(ln(x)+2)/sqrt(x) + C
8ln(1+sqrt(3))-8ln(2)
xarctan(x)-ln(1+x
2
)/2 + C
xln(1+x
2
)-2x+2arctan(x)+C